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Finding the Fourth Proportional to 712.53, 983.05 and 413.64

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Solution

The fourth proportional to 712.53, 983.05 and 413.64 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 983.05 = 413.64 : x
  2. Step 2: Convert to fraction form
    712.53/983.05 = 413.64/x
  3. Step 3: Cross multiply
    712.53x = 983.05 × 413.64
  4. Step 4: Simplify right side
    712.53x = 406,628.80
  5. Step 5: Solve for x
    x = 406,628.80/712.53
  6. Step 6: Final answer
    x = 570.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.